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Abstract

We propose a simple structure for manipulating resonant conditions in random structures, which is composed of a waveguide structure as a defect region embedded in a random structure. Using the two-dimensional finite-difference time-domain method, we examine the resonant properties of localized modes bound in the waveguide. From the results, we confirm that long-lived modes are strongly confined in the waveguide only when the resonant frequency matches the frequency windows in the transmitted intensity spectrum of the surrounding random structure.

Fig. 2 Curves (a) and (b) indicate the resonant spectrum of the numerical model in Fig. 1 and a transmitted intensity spectrum of the surrounding random structure without a waveguide structure. A solid circle with error bar exhibits the average resonant frequency calculated from ten different distributions of scatterers. Curve (c) shows the reflected intensity spectrum from a waveguide structure without surrounding scatterers.

Fig. 3 Intensity distributions at (a) on- and (b) off-resonant frequencies (281 and 325 THz, respectively). The distributions were normalized by individual maximum values and the maximum intensity of the image at the off-resonant frequency was about 103 times smaller than that at the on-resonant frequency.